The point ( 3,0) lies on a circle with the center at the origin. What is the area of the circle to the nearest hundreth

1 answer:

3 0

1) Find the radius of the circle. You can do that by inspection; no work required.
2) Use the "area of a circle" formula A = pi r^2 to calculate the area.
3) Round off your area calculation to the nearest hundredth.

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Step-by-step explanation:

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Students receive a 15% discount at the local movie theater. If a student pays the discounted price of $7.65, what is the origina

Over [174]

Answer:

$\large \boxed{\$9.00}$

Step-by-step explanation:

Let p = the original price of the ticket

$\begin{array}{rcl}\text{ Price before discount - discount} & = & \text{sale price}\\p - 0.15p & = & 7.65\\0.85p & = & 7.65\\p & = & \dfrac{7.65 }{0.85}\\\\& = & \mathbf{9.00}\\\end{array}\\\text{The original price of the ticket was $\large \boxed{\mathbf{\$9.00}}$}$

Check:

$\begin{array}{rcl}9.00 - 0.15(9.00) & = & 7.65\\9.00 - 1.35 & = & 7.65\\7.65 & = & 7.65\\\end{array}$

OK.

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